We define a product for any positive real numbers and involvingRamanujan-s theta-functions and which is analogous to Ramanujan-s remarkable product oftheta-functions recorded by Ramanujan 1957 and study its several properties. We prove general theorems for the explicit evaluations of and find some explicit values. As application of the product , we also offer explicit formulas for explicit values of Ramanujan-scontinued fraction in terms of and give examples.